Question

If 6 2/3% of a number is subtracted from itself then the results becomes 5670. Find the original number​

Answer 1

Answer:

Step-by-step explanation:

The original number is equal to 6,075.

We can find the number by following the process given below-

Let us assume that the original number is X.

6⅔% of the number=20/3% of the number

=(20/3)/100 of X

=20/300 of X

=20X/300

If X minus 6⅔% of X=5670

X-20X/300=5670

On taking the LCM, we get

300X-20X/300=5670

280X/300=5670

28X/30=5670

28X=30×5670

X=30×5670/28

X=6,075

So, the number is 6,075.